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Finding the Fourth Proportional to 5,903.40, 8,835.90 and 4,597.80

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Solution

The fourth proportional to 5,903.40, 8,835.90 and 4,597.80 is: 6,881.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,903.40 : 8,835.90 = 4,597.80 : x
  2. Step 2: Convert to fraction form
    5,903.40/8,835.90 = 4,597.80/x
  3. Step 3: Cross multiply
    5,903.40x = 8,835.90 × 4,597.80
  4. Step 4: Simplify right side
    5,903.40x = 40,625,701.02
  5. Step 5: Solve for x
    x = 40,625,701.02/5,903.40
  6. Step 6: Final answer
    x = 6,881.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.